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Finding the Fourth Proportional to 2,560.95, 3,841.16 and 829.58

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Solution

The fourth proportional to 2,560.95, 3,841.16 and 829.58 is: 1,244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.95 : 3,841.16 = 829.58 : x
  2. Step 2: Convert to fraction form
    2,560.95/3,841.16 = 829.58/x
  3. Step 3: Cross multiply
    2,560.95x = 3,841.16 × 829.58
  4. Step 4: Simplify right side
    2,560.95x = 3,186,526.16
  5. Step 5: Solve for x
    x = 3,186,526.16/2,560.95
  6. Step 6: Final answer
    x = 1,244.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.